Volume functions on blow-ups and Seshadri constants

Ballaÿ, François

doi:10.1090/proc/15803

Volume functions on blow-ups and Seshadri constants
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by François Ballaÿ PDF

Proc. Amer. Math. Soc. 150 (2022), 1925-1935 Request permission

Abstract:

We exhibit some relations between the Seshadri constant of an ample divisor along a closed subscheme and the behaviour of the volume function on the corresponding blow-up. As an application, we give an equivalent formulation of Nagata’s conjecture in terms of the differentiability of a real valued function.

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